The shortfall risk is defined as the optimal mean value of the terminal deficit produced by a self-financing portfolio whose initial value is smaller than what is required to replicate a contingent claim. In this paper we look for an explicit expression for it, as well as for the optimal strategy, when the market model is a binomial model with proportional transaction costs. We first study replication of European claims which satisfy suitable assumptions. We then investigate the shortfall minimization problem in a framework very similar to that without transaction costs.
Replication and shortfall risk in a binomial model with transaction costs / Trivellato B.. - In: MATHEMATICAL METHODS OF OPERATIONS RESEARCH. - ISSN 1432-2994. - 69(2009), pp. 1-26. [10.1007/s00186-007-0208-3]
Titolo: | Replication and shortfall risk in a binomial model with transaction costs | |
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Data di pubblicazione: | 2009 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00186-007-0208-3 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/1663651